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234630547272 = 233211245475923
BaseRepresentation
bin1101101010000100010…
…0100000011101001000
3211102121210202202120100
43122201010200131020
512321010410003042
6255442054525400
722644235513452
oct3324104403510
9742553682510
10234630547272
1190562910a00
1239581366860
1319182b38674
14b4db4d92d2
15618387724c
hex36a1120748

234630547272 has 144 divisors (see below), whose sum is σ = 698749899120. Its totient is φ = 71072527680.

The previous prime is 234630547213. The next prime is 234630547331. The reversal of 234630547272 is 272745036432.

234630547272 is a `hidden beast` number, since 2 + 3 + 4 + 6 + 30 + 547 + 2 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (234630547213) and next prime (234630547331).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39610503 + ... + 39616425.

It is an arithmetic number, because the mean of its divisors is an integer number (4852429855).

Almost surely, 2234630547272 is an apocalyptic number.

234630547272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234630547272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349374949560).

234630547272 is an abundant number, since it is smaller than the sum of its proper divisors (464119351848).

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

234630547272 is a wasteful number, since it uses less digits than its factorization.

234630547272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10504 (or 10486 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

The spelling of 234630547272 in words is "two hundred thirty-four billion, six hundred thirty million, five hundred forty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 4547 5923 8712 9094 11846 13641 17769 18188 23692 27282 35538 36376 40923 47384 50017 53307 54564 65153 71076 81846 100034 106614 109128 130306 142152 150051 163692 195459 200068 213228 260612 300102 327384 390918 400136 426456 450153 521224 550187 586377 600204 716683 781836 900306 1100374 1172754 1200408 1433366 1563672 1650561 1800612 2150049 2200748 2345508 2866732 3301122 3601224 4300098 4401496 4691016 4951683 5733464 6450147 6602244 8600196 9903366 12900294 13204488 17200392 19806732 25800588 26931881 39613464 51601176 53863762 80795643 107727524 161591286 215455048 242386929 296250691 323182572 484773858 592501382 646365144 888752073 969547716 1185002764 1777504146 1939095432 2370005528 2666256219 3258757601 3555008292 5332512438 6517515202 7110016584 9776272803 10665024876 13035030404 19552545606 21330049752 26070060808 29328818409 39105091212 58657636818 78210182424 117315273636 234630547272