Search a number
-
+
22370609052 = 223311120115679
BaseRepresentation
bin10100110101011001…
…000110011110011100
32010202001020200112000
4110311121012132130
5331303333442202
614135451442300
71421236016361
oct246531063634
963661220460
1022370609052
11953a697760
124403a56390
13215687289c
141123094468
158ade3891c
hex53564679c

22370609052 has 96 divisors (see below), whose sum is σ = 63327129600. Its totient is φ = 6772896000.

The previous prime is 22370609033. The next prime is 22370609069. The reversal of 22370609052 is 25090607322.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22370608998 and 22370609016.

It is a congruent number.

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, 1418949 + ... + 1434627.

It is an arithmetic number, because the mean of its divisors is an integer number (659657600).

Almost surely, 222370609052 is an apocalyptic number.

22370609052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22370609052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31663564800).

22370609052 is an abundant number, since it is smaller than the sum of its proper divisors (40956520548).

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

22370609052 is a wasteful number, since it uses less digits than its factorization.

22370609052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16904 (or 16896 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 22370609052 in words is "twenty-two billion, three hundred seventy million, six hundred nine thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 1201 2402 3603 4804 7206 10809 13211 14412 15679 21618 26422 31358 32427 39633 43236 47037 52844 62716 64854 79266 94074 118899 129708 141111 158532 172469 188148 237798 282222 344938 356697 423333 475596 517407 564444 689876 713394 846666 1034814 1426788 1552221 1693332 2069628 3104442 4656663 6208884 9313326 18626652 18830479 37660958 56491437 75321916 112982874 169474311 207135269 225965748 338948622 414270538 508422933 621405807 677897244 828541076 1016845866 1242811614 1864217421 2033691732 2485623228 3728434842 5592652263 7456869684 11185304526 22370609052