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5220225456 = 2434311032293
BaseRepresentation
bin1001101110010011…
…00101000110110000
3111110210202221002120
410313021211012300
541142334203311
62221555314240
7243235120125
oct46711450660
914423687076
105220225456
112239754716
1210182ab980
13652677b04
1437742a74c
15208458706
hex1372651b0

5220225456 has 80 divisors (see below), whose sum is σ = 13817734656. Its totient is φ = 1697326848.

The previous prime is 5220225427. The next prime is 5220225457. The reversal of 5220225456 is 6545220225.

It is a super-2 number, since 2×52202254562 = 54501507622940815872, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5220225457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2275446 + ... + 2277738.

Almost surely, 25220225456 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 5220225456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6908867328).

5220225456 is an abundant number, since it is smaller than the sum of its proper divisors (8597509200).

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

5220225456 is a wasteful number, since it uses less digits than its factorization.

5220225456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3450 (or 3444 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The square root of 5220225456 is about 72251.1277143824. The cubic root of 5220225456 is about 1734.7214690176.

The spelling of 5220225456 in words is "five billion, two hundred twenty million, two hundred twenty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 1103 2064 2206 2293 3309 4412 4586 6618 6879 8824 9172 13236 13758 17648 18344 26472 27516 36688 47429 52944 55032 94858 98599 110064 142287 189716 197198 284574 295797 379432 394396 569148 591594 758864 788792 1138296 1183188 1577584 2276592 2366376 2529179 4732752 5058358 7587537 10116716 15175074 20233432 30350148 40466864 60700296 108754697 121400592 217509394 326264091 435018788 652528182 870037576 1305056364 1740075152 2610112728 5220225456