Search a number
-
+
225947655990 = 232572315593351
BaseRepresentation
bin1101001001101110000…
…1111001111100110110
3210121012200101011221100
43102123201321330312
512200220044442430
6251444322230530
722216123246560
oct3223341717466
9717180334840
10225947655990
118790761a1a1
12379594b5446
13183cac96584
14ad1626c330
155d26438960
hex349b879f36

225947655990 has 96 divisors (see below), whose sum is σ = 700578118656. Its totient is φ = 49399732800.

The previous prime is 225947655959. The next prime is 225947655991. The reversal of 225947655990 is 99556749522.

225947655990 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 4 + 76 + 559 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225947655991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7782186 + ... + 7811165.

It is an arithmetic number, because the mean of its divisors is an integer number (7297688736).

Almost surely, 2225947655990 is an apocalyptic number.

225947655990 is an abundant number, since it is smaller than the sum of its proper divisors (474630462666).

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

225947655990 is a wasteful number, since it uses less digits than its factorization.

225947655990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15593394 (or 15593391 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 63.

The spelling of 225947655990 in words is "two hundred twenty-five billion, nine hundred forty-seven million, six hundred fifty-five thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 30 35 42 45 46 63 69 70 90 105 115 126 138 161 207 210 230 315 322 345 414 483 630 690 805 966 1035 1449 1610 2070 2415 2898 4830 7245 14490 15593351 31186702 46780053 77966755 93560106 109153457 140340159 155933510 218306914 233900265 280680318 327460371 358647073 467800530 545767285 654920742 701700795 717294146 982381113 1075941219 1091534570 1403401590 1637301855 1793235365 1964762226 2151882438 2510529511 3227823657 3274603710 3586470730 4911905565 5021059022 5379706095 6455647314 7531588533 9823811130 10759412190 12552647555 15063177066 16139118285 22594765599 25105295110 32278236570 37657942665 45189531198 75315885330 112973827995 225947655990