Search a number
-
+
102238992 = 24323137619
BaseRepresentation
bin1100001100000…
…00101100010000
321010101021112100
412012000230100
5202133121432
614051200400
72351005602
oct606005420
9233337470
10102238992
1152790739
122a2a6100
131824895b
14d815172
158e9807c
hex6180b10

102238992 has 120 divisors (see below), whose sum is σ = 303829760. Its totient is φ = 32037120.

The previous prime is 102238991. The next prime is 102239009. The reversal of 102238992 is 299832201.

It is a super-2 number, since 2×1022389922 = 20905622970352128, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (102238991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164859 + ... + 165477.

Almost surely, 2102238992 is an apocalyptic number.

102238992 is a gapful number since it is divisible by the number (12) 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 102238992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151914880).

102238992 is an abundant number, since it is smaller than the sum of its proper divisors (201590768).

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

102238992 is a wasteful number, since it uses less digits than its factorization.

102238992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 102238992 is about 10111.3298828591. The cubic root of 102238992 is about 467.5975062329.

The spelling of 102238992 in words is "one hundred two million, two hundred thirty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 37 48 62 72 74 93 111 124 144 148 186 222 248 279 296 333 372 444 496 558 592 619 666 744 888 1116 1147 1238 1332 1488 1776 1857 2232 2294 2476 2664 3441 3714 4464 4588 4952 5328 5571 6882 7428 9176 9904 10323 11142 13764 14856 18352 19189 20646 22284 22903 27528 29712 38378 41292 44568 45806 55056 57567 68709 76756 82584 89136 91612 115134 137418 153512 165168 172701 183224 206127 230268 274836 307024 345402 366448 412254 460536 549672 690804 709993 824508 921072 1099344 1381608 1419986 1649016 2129979 2763216 2839972 3298032 4259958 5679944 6389937 8519916 11359888 12779874 17039832 25559748 34079664 51119496 102238992