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2135245200 = 2435211161761
BaseRepresentation
bin111111101000101…
…0100000110010000
312111210211200202120
41333101110012100
513333110321300
6551513414240
7103625166444
oct17721240620
95453750676
102135245200
119a6321360
124b710a380
132804ab3ca
14163822824
15c76ca3a0
hex7f454190

2135245200 has 120 divisors (see below), whose sum is σ = 7461757536. Its totient is φ = 517632000.

The previous prime is 2135245183. The next prime is 2135245253. The reversal of 2135245200 is 25425312.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 67681 + ... + 94080.

Almost surely, 22135245200 is an apocalyptic number.

2135245200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135245200 is an abundant number, since it is smaller than the sum of its proper divisors (5326512336).

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

2135245200 is a wasteful number, since it uses less digits than its factorization.

2135245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161793 (or 161782 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2135245200 is about 46208.7134640210. The cubic root of 2135245200 is about 1287.7036244378.

The spelling of 2135245200 in words is "two billion, one hundred thirty-five million, two hundred forty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 161761 323522 485283 647044 808805 970566 1294088 1617610 1779371 1941132 2426415 2588176 3235220 3558742 3882264 4044025 4852830 5338113 6470440 7117484 7764528 8088050 8896855 9705660 10676226 12132075 12940880 14234968 16176100 17793710 19411320 21352452 24264150 26690565 28469936 32352200 35587420 38822640 42704904 44484275 48528300 53381130 64704400 71174840 85409808 88968550 97056600 106762260 133452825 142349680 177937100 194113200 213524520 266905650 355874200 427049040 533811300 711748400 1067622600 2135245200