Search a number
-
+
23021553402 = 2333719957901
BaseRepresentation
bin10101011100001100…
…010000011011111010
32012102102010002022000
4111130030100123322
5334122004202102
614324223441430
71443331655331
oct253414203372
965372102260
1023021553402
1198440808a1
124565a56276
13222b697663
1411856dcd18
158eb16b01c
hex55c3106fa

23021553402 has 64 divisors (see below), whose sum is σ = 52806624000. Its totient is φ = 7428801600.

The previous prime is 23021553389. The next prime is 23021553413. The reversal of 23021553402 is 20435512032.

It is a happy number.

23021553402 is a `hidden beast` number, since 2 + 302 + 15 + 5 + 340 + 2 = 666.

It is a super-2 number, since 2×230215534022 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368652 + ... + 426552.

It is an arithmetic number, because the mean of its divisors is an integer number (825103500).

Almost surely, 223021553402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23021553402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26403312000).

23021553402 is an abundant number, since it is smaller than the sum of its proper divisors (29785070598).

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

23021553402 is a wasteful number, since it uses less digits than its factorization.

23021553402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58148 (or 58142 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 23021553402 in words is "twenty-three billion, twenty-one million, five hundred fifty-three thousand, four hundred two".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 199 222 333 398 597 666 999 1194 1791 1998 3582 5373 7363 10746 14726 22089 44178 57901 66267 115802 132534 173703 198801 347406 397602 521109 1042218 1563327 2142337 3126654 4284674 6427011 11522299 12854022 19281033 23044598 34566897 38562066 57843099 69133794 103700691 115686198 207401382 311102073 426325063 622204146 852650126 1278975189 2557950378 3836925567 7673851134 11510776701 23021553402