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226941946504 = 23731323892663
BaseRepresentation
bin1101001101011011001…
…0110100101010001000
3210200202222022101002221
43103112302310222020
512204234114242004
6252131121303424
722252555501000
oct3232662645210
9720688271087
10226941946504
11882778a3399
1237b96494b74
1318528c84a60
14adac331000
155d8388d354
hex34d6cb4a88

226941946504 has 128 divisors (see below), whose sum is σ = 534824640000. Its totient is φ = 89707951872.

The previous prime is 226941946463. The next prime is 226941946579. The reversal of 226941946504 is 405649149622.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85219077 + ... + 85221739.

It is an arithmetic number, because the mean of its divisors is an integer number (4178317500).

Almost surely, 2226941946504 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 226941946504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267412320000).

226941946504 is an abundant number, since it is smaller than the sum of its proper divisors (307882693496).

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

226941946504 is a wasteful number, since it uses less digits than its factorization.

226941946504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5092 (or 5074 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 226941946504 in words is "two hundred twenty-six billion, nine hundred forty-one million, nine hundred forty-six thousand, five hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 343 364 392 637 686 728 1274 1372 2389 2548 2663 2744 4459 4778 5096 5326 8918 9556 10652 16723 17836 18641 19112 21304 31057 33446 34619 35672 37282 62114 66892 69238 74564 117061 124228 130487 133784 138476 149128 217399 234122 242333 248456 260974 276952 434798 468244 484666 521948 819427 869596 913409 936488 969332 1043896 1521793 1638854 1696331 1739192 1826818 1938664 3043586 3277708 3392662 3653636 6087172 6361907 6555416 6785324 7307272 10652551 11874317 12174344 12723814 13570648 21305102 23748634 25447628 42610204 44533349 47497268 50895256 82704791 85220408 89066698 94994536 165409582 178133396 311733443 330819164 356266792 578933537 623466886 661638328 1157867074 1246933772 2182134101 2315734148 2493867544 4052534759 4364268202 4631468296 8105069518 8728536404 16210139036 17457072808 28367743313 32420278072 56735486626 113470973252 226941946504