Search a number
-
+
22342966992 = 24331713812203
BaseRepresentation
bin10100110011101111…
…101001111011010000
32010200010020022202000
4110303233221323100
5331224244420432
614133023154000
71420452041313
oct246357517320
963603208660
1022342966992
119526027885
1243b6745900
132150c14c38
14111d53a97a
158ab7c857c
hex533be9ed0

22342966992 has 160 divisors (see below), whose sum is σ = 67985112960. Its totient is φ = 7001303040.

The previous prime is 22342966979. The next prime is 22342966999. The reversal of 22342966992 is 29966924322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22342966999) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10140963 + ... + 10143165.

It is an arithmetic number, because the mean of its divisors is an integer number (424906956).

Almost surely, 222342966992 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 22342966992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33992556480).

22342966992 is an abundant number, since it is smaller than the sum of its proper divisors (45642145968).

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

22342966992 is a wasteful number, since it uses less digits than its factorization.

22342966992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3618 (or 3606 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The spelling of 22342966992 in words is "twenty-two billion, three hundred forty-two million, nine hundred sixty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1381 1836 2203 2448 2762 3672 4143 4406 5524 6609 7344 8286 8812 11048 12429 13218 16572 17624 19827 22096 23477 24858 26436 33144 35248 37287 37451 39654 46954 49716 52872 59481 66288 70431 74574 74902 79308 93908 99432 105744 112353 118962 140862 149148 149804 158616 187816 198864 211293 224706 237924 281724 298296 299608 317232 337059 375632 422586 449412 475848 563448 596592 599216 633879 674118 845172 898824 951696 1011177 1126896 1267758 1348236 1690344 1797648 2022354 2535516 2696472 3042343 3380688 4044708 5071032 5392944 6084686 8089416 9127029 10142064 12169372 16178832 18254058 24338744 27381087 36508116 48677488 51719831 54762174 73016232 82143261 103439662 109524348 146032464 155159493 164286522 206879324 219048696 310318986 328573044 413758648 438097392 465478479 620637972 657146088 827517296 930956958 1241275944 1314292176 1396435437 1861913916 2482551888 2792870874 3723827832 5585741748 7447655664 11171483496 22342966992