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225399914352 = 243572537993
BaseRepresentation
bin1101000111101011100…
…0011011111101110000
3210112210111201000200000
43101322320123331300
512143104334224402
6251314114230000
722166422442304
oct3217270337560
9715714630600
10225399914352
1187656414858
1237825b85300
1318341666cb2
14aca3609d04
155ce32dec1c
hex347ae1bf70

225399914352 has 120 divisors (see below), whose sum is σ = 654341963184. Its totient is φ = 75113547264.

The previous prime is 225399914321. The next prime is 225399914359. The reversal of 225399914352 is 253419993522.

225399914352 is a `hidden beast` number, since 2 + 2 + 539 + 99 + 14 + 3 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225399914359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28195668 + ... + 28203660.

Almost surely, 2225399914352 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 225399914352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327170981592).

225399914352 is an abundant number, since it is smaller than the sum of its proper divisors (428942048832).

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

225399914352 is an equidigital number, since it uses as much as digits as its factorization.

225399914352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15269 (or 15251 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 54.

The spelling of 225399914352 in words is "two hundred twenty-five billion, three hundred ninety-nine million, nine hundred fourteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 7253 7993 14506 15986 21759 23979 29012 31972 43518 47958 58024 63944 65277 71937 87036 95916 116048 127888 130554 143874 174072 191832 195831 215811 261108 287748 348144 383664 391662 431622 522216 575496 587493 647433 783324 863244 1044432 1150992 1174986 1294866 1566648 1726488 1762479 1942299 2349972 2589732 3133296 3452976 3524958 3884598 4699944 5179464 7049916 7769196 9399888 10358928 14099832 15538392 28199664 31076784 57973229 115946458 173919687 231892916 347839374 463785832 521759061 695678748 927571664 1043518122 1391357496 1565277183 2087036244 2782714992 3130554366 4174072488 4695831549 6261108732 8348144976 9391663098 12522217464 14087494647 18783326196 25044434928 28174989294 37566652392 56349978588 75133304784 112699957176 225399914352