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203284098240 = 2635211754269
BaseRepresentation
bin1011110101010010101…
…1010010110011000000
3201102201012220011100120
42331110223102303000
511312311212120430
6233215403420240
720454366216306
oct2752453226300
9642635804316
10203284098240
1179237634883
1233493524680
1316228824582
149ba631c276
15544b935610
hex2f54ad2cc0

203284098240 has 56 divisors (see below), whose sum is σ = 645427014960. Its totient is φ = 54209092608.

The previous prime is 203284098233. The next prime is 203284098263. The reversal of 203284098240 is 42890482302.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 203284098192 and 203284098201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105876175 + ... + 105878094.

It is an arithmetic number, because the mean of its divisors is an integer number (11525482410).

Almost surely, 2203284098240 is an apocalyptic number.

203284098240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203284098240 is an abundant number, since it is smaller than the sum of its proper divisors (442142916720).

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

203284098240 is a wasteful number, since it uses less digits than its factorization.

203284098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211754289 (or 211754279 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

It can be divided in two parts, 2032840 and 98240, that added together give a triangular number (2131080 = T2064).

The spelling of 203284098240 in words is "two hundred three billion, two hundred eighty-four million, ninety-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 211754269 423508538 635262807 847017076 1058771345 1270525614 1694034152 2117542690 2541051228 3176314035 3388068304 4235085380 5082102456 6352628070 6776136608 8470170760 10164204912 12705256140 13552273216 16940341520 20328409824 25410512280 33880683040 40656819648 50821024560 67761366080 101642049120 203284098240