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70223940 = 223251753433
BaseRepresentation
bin1000010111110…
…00100001000100
311220010202010200
410023320201010
5120434131230
610545050500
71511615343
oct413704104
9156122120
1070223940
1136704316
121b626a30
1311719737
14947db5a
156272160
hex42f8844

70223940 has 144 divisors (see below), whose sum is σ = 230329008. Its totient is φ = 17252352.

The previous prime is 70223927. The next prime is 70223941. The reversal of 70223940 is 4932207.

It can be written as a sum of positive squares in 8 ways, for example, as 66564 + 70157376 = 258^2 + 8376^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70223941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161964 + ... + 162396.

It is an arithmetic number, because the mean of its divisors is an integer number (1599507).

Almost surely, 270223940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70223940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115164504).

70223940 is an abundant number, since it is smaller than the sum of its proper divisors (160105068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

70223940 is a wasteful number, since it uses less digits than its factorization.

70223940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 70223940 is about 8379.9725536543. The cubic root of 70223940 is about 412.5675481668.

It can be divided in two parts, 702 and 23940, that added together give a palindrome (24642).

The spelling of 70223940 in words is "seventy million, two hundred twenty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 53 60 68 85 90 102 106 153 159 170 180 204 212 255 265 306 318 340 433 477 510 530 612 636 765 795 866 901 954 1020 1060 1299 1530 1590 1732 1802 1908 2165 2385 2598 2703 3060 3180 3604 3897 4330 4505 4770 5196 5406 6495 7361 7794 8109 8660 9010 9540 10812 12990 13515 14722 15588 16218 18020 19485 22083 22949 25980 27030 29444 32436 36805 38970 40545 44166 45898 54060 66249 68847 73610 77940 81090 88332 91796 110415 114745 132498 137694 147220 162180 206541 220830 229490 264996 275388 331245 344235 390133 413082 441660 458980 662490 688470 780266 826164 1032705 1170399 1324980 1376940 1560532 1950665 2065410 2340798 3511197 3901330 4130820 4681596 5851995 7022394 7802660 11703990 14044788 17555985 23407980 35111970 70223940