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224740468624 = 2472169312
BaseRepresentation
bin1101000101001110010…
…0110110011110010000
3210111002112211201012011
43101103210312132100
512140232024443444
6251124440112304
722144164315100
oct3212344663620
9714075751164
10224740468624
1187348154491
1237681165694
1318267b56819
14ac3dbcb200
155ca547d734
hex3453936790

224740468624 has 45 divisors (see below), whose sum is σ = 506555949531. Its totient is φ = 96311654880.

The previous prime is 224740468609. The next prime is 224740468633. The reversal of 224740468624 is 426864047422.

The square root of 224740468624 is 474068.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13265439 + ... + 13282369.

Almost surely, 2224740468624 is an apocalyptic number.

224740468624 is the 474068-th square number.

It is an amenable number.

224740468624 is an abundant number, since it is smaller than the sum of its proper divisors (281815480907).

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

224740468624 is an frugal number, since it uses more digits than its factorization.

224740468624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33884 (or 16940 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 49.

Multiplying 224740468624 by its sum of digits (49), we get a square (11012282962576 = 33184762).

224740468624 divided by its sum of digits (49) gives a square (4586540176 = 677242).

The spelling of 224740468624 in words is "two hundred twenty-four billion, seven hundred forty million, four hundred sixty-eight thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 16931 33862 67724 118517 135448 237034 270896 474068 829619 948136 1659238 1896272 3318476 6636952 13273904 286658761 573317522 1146635044 2006611327 2293270088 4013222654 4586540176 8026445308 14046279289 16052890616 28092558578 32105781232 56185117156 112370234312 224740468624