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221514215412 = 223723231160807
BaseRepresentation
bin1100111001001101000…
…1101010111111110100
3210011202201002001210110
43032103101222333310
512112130114343122
6245432350223020
722001220523050
oct3162321527764
9704681061713
10221514215412
1185a41aaa716
1236b207b4a70
1317b72625559
14aa1552ac60
155b670e690c
hex339346aff4

221514215412 has 144 divisors (see below), whose sum is σ = 637427474432. Its totient is φ = 58584841920.

The previous prime is 221514215401. The next prime is 221514215413. The reversal of 221514215412 is 214512415122.

It is a self number, because there is not a number n which added to its sum of digits gives 221514215412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221514215413) 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, 1297113 + ... + 1457919.

Almost surely, 2221514215412 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 221514215412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318713737216).

221514215412 is an abundant number, since it is smaller than the sum of its proper divisors (415913259020).

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

221514215412 is a wasteful number, since it uses less digits than its factorization.

221514215412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160898 (or 160873 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The spelling of 221514215412 in words is "two hundred twenty-one billion, five hundred fourteen million, two hundred fifteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 31 42 46 62 69 84 92 93 124 138 161 186 217 276 322 372 434 483 529 644 651 713 868 966 1058 1302 1426 1587 1932 2116 2139 2604 2852 3174 3703 4278 4991 6348 7406 8556 9982 11109 14812 14973 16399 19964 22218 29946 32798 44436 49197 59892 65596 98394 114793 160807 196788 229586 321614 344379 459172 482421 643228 688758 964842 1125649 1377516 1929684 2251298 3376947 3698561 4502596 4985017 6753894 7397122 9970034 11095683 13507788 14794244 14955051 19940068 22191366 25889927 29910102 34895119 44382732 51779854 59820204 69790238 77669781 85066903 103559708 104685357 114655391 139580476 155339562 170133806 209370714 229310782 255200709 310679124 340267612 343966173 418741428 458621564 510401418 595468321 687932346 802587737 1020802836 1190936642 1375864692 1605175474 1786404963 2381873284 2407763211 2637073993 3210350948 3572809926 4815526422 5274147986 7145619852 7911221979 9631052844 10548295972 15822443958 18459517951 31644887916 36919035902 55378553853 73838071804 110757107706 221514215412