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225007156632 = 233171961475831
BaseRepresentation
bin1101000110001101111…
…0001011110110011000
3210111210010122212100210
43101203132023312120
512141303313003012
6251211124131120
722153613163126
oct3214336136630
9714703585323
10225007156632
11874747460a5
1237736536aa0
13182ab18cc8b
14ac673ac916
155cbdaac23c
hex346378bd98

225007156632 has 128 divisors (see below), whose sum is σ = 637234214400. Its totient is φ = 65778739200.

The previous prime is 225007156567. The next prime is 225007156637. The reversal of 225007156632 is 236651700522.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225007156637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234957 + ... + 710787.

It is an arithmetic number, because the mean of its divisors is an integer number (4978392300).

Almost surely, 2225007156632 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 225007156632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318617107200).

225007156632 is an abundant number, since it is smaller than the sum of its proper divisors (412227057768).

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

225007156632 is a wasteful number, since it uses less digits than its factorization.

225007156632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475937 (or 475933 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 225007156632 in words is "two hundred twenty-five billion, seven million, one hundred fifty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 61 68 76 102 114 122 136 152 183 204 228 244 323 366 408 456 488 646 732 969 1037 1159 1292 1464 1938 2074 2318 2584 3111 3477 3876 4148 4636 6222 6954 7752 8296 9272 12444 13908 19703 24888 27816 39406 59109 78812 118218 157624 236436 472872 475831 951662 1427493 1903324 2854986 3806648 5709972 8089127 9040789 11419944 16178254 18081578 24267381 27122367 29025691 32356508 36163156 48534762 54244734 58051382 64713016 72326312 87077073 97069524 108489468 116102764 153693413 174154146 194139048 216978936 232205528 307386826 348308292 461080239 493436747 551488129 614773652 696616584 922160478 986873494 1102976258 1229547304 1480310241 1654464387 1844320956 1973746988 2205952516 2960620482 3308928774 3688641912 3947493976 4411905032 5921240964 6617857548 9375298193 11842481928 13235715096 18750596386 28125894579 37501192772 56251789158 75002385544 112503578316 225007156632