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22410344034 = 235132281971
BaseRepresentation
bin10100110111110000…
…101011011001100010
32010211211000102200000
4110313300223121202
5331344022002114
614143431240430
71422230531661
oct246760533142
963754012600
1022410344034
119560067191
124415219116
132161b75900
141128478dd8
158b2686e09
hex537c2b662

22410344034 has 144 divisors (see below), whose sum is σ = 54775846944. Its totient is φ = 6863875200.

The previous prime is 22410344023. The next prime is 22410344063. The reversal of 22410344034 is 43044301422.

It is a happy number.

22410344034 is a `hidden beast` number, since 224 + 1 + 0 + 34 + 403 + 4 = 666.

22410344034 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22410343989 and 22410344007.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23079169 + ... + 23080139.

It is an arithmetic number, because the mean of its divisors is an integer number (380387826).

Almost surely, 222410344034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22410344034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27387923472).

22410344034 is an abundant number, since it is smaller than the sum of its proper divisors (32365502910).

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

22410344034 is a wasteful number, since it uses less digits than its factorization.

22410344034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 22410344034 its reverse (43044301422), we get a palindrome (65454645456).

The spelling of 22410344034 in words is "twenty-two billion, four hundred ten million, three hundred forty-four thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 243 281 338 351 486 507 562 702 843 971 1014 1053 1521 1686 1942 2106 2529 2913 3042 3159 3653 4563 5058 5826 6318 7306 7587 8739 9126 10959 12623 13689 15174 17478 21918 22761 25246 26217 27378 32877 37869 41067 45522 47489 52434 65754 68283 75738 78651 82134 94978 98631 113607 136566 142467 157302 164099 197262 227214 235953 272851 284934 295893 328198 340821 427401 471906 492297 545702 591786 681642 818553 854802 887679 984594 1022463 1282203 1476891 1637106 1775358 2044926 2455659 2564406 2953782 3067389 3547063 3846609 4430673 4911318 6134778 7094126 7366977 7693218 8861346 10641189 11539827 13292019 14733954 21282378 22100931 23079654 26584038 31923567 39876057 44201862 46111819 63847134 66302793 79752114 92223638 95770701 132605586 138335457 191541402 276670914 287312103 415006371 574624206 830012742 861936309 1245019113 1723872618 2490038226 3735057339 7470114678 11205172017 22410344034