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2242232124 = 2231126772281
BaseRepresentation
bin1000010110100101…
…1011111100111100
312210021011012020020
42011221123330330
514043002411444
61010254452140
7106364441616
oct20551337474
95707135206
102242232124
11a50755200
12526b04050
132996ca192
14173b11db6
15d1cb0119
hex85a5bf3c

2242232124 has 72 divisors (see below), whose sum is σ = 5761757904. Its totient is φ = 678163200.

The previous prime is 2242232089. The next prime is 2242232141. The reversal of 2242232124 is 4212322422.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2242232094 and 2242232103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 981864 + ... + 984144.

Almost surely, 22242232124 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 2242232124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880878952).

2242232124 is an abundant number, since it is smaller than the sum of its proper divisors (3519525780).

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

2242232124 is a wasteful number, since it uses less digits than its factorization.

2242232124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987 (or 2974 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 2242232124 is about 47352.2135068679. The cubic root of 2242232124 is about 1308.8609884628.

Adding to 2242232124 its reverse (4212322422), we get a palindrome (6454554546).

The spelling of 2242232124 in words is "two billion, two hundred forty-two million, two hundred thirty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 677 726 1354 1452 2031 2281 2708 4062 4562 6843 7447 8124 9124 13686 14894 22341 25091 27372 29788 44682 50182 75273 81917 89364 100364 150546 163834 245751 276001 301092 327668 491502 552002 828003 983004 1104004 1544237 1656006 3088474 3312012 4632711 6176948 9265422 16986607 18530844 33973214 50959821 67946428 101919642 186852677 203839284 373705354 560558031 747410708 1121116062 2242232124